Least Common Multiple of 9952 and 9956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9952 and 9956 the smallest integer that is 24770528 that is divisible by both numbers.

Least Common Multiple (LCM) of 9952 and 9956 is 24770528.

LCM(9952,9956) = 24770528

LCM of 9952 and 9956

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9952 and 9956

LCM of 9952 and 9956 is 24770528

Least common multiple can be found by multiplying the highest exponent prime factors of 9952 and 9956. First we will calculate the prime factors of 9952 and 9956.

Prime Factorization of 9952


2 9952
2 4976
2 2488
2 1244
2 622
311 311
1

Prime factors of 9952 are 2,311. Prime factorization of 9952 in exponential form is:

9952 = 25×3111

Prime Factorization of 9956


2 9956
2 4978
19 2489
131 131
1

Prime factors of 9956 are 2, 19,131. Prime factorization of 9956 in exponential form is:

9956 = 22×191×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9952 and 9956.

LCM(9952,9956) = 25×191×1311×3111
LCM(9952,9956) = 24770528

Factors of 9952

List of positive integer factors of 9952 that divides 9952 without a remainder.

1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952

Factors of 9956

List of positive integer factors of 9956 that divides 9956 without a remainder.

1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956

Least Common Multiple of 9952 and 9956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9952 and 9956, than apply into the LCM equation.

GCF(9952,9956) = 4
LCM(9952,9956) = ( 9952 × 9956) / 4
LCM(9952,9956) = 99082112 / 4
LCM(9952,9956) = 24770528

Properties of LCM 9952 and 9956

(i) The LCM of 9956 and 9952 is associative

LCM of 9952 and 9956 = LCM of 9956 and 9952

Related Least Common Multiples of 9952

Related Least Common Multiples of 9956

Frequently Asked Questions on LCM of 9952 and 9956

1. What is the LCM of 9952 and 9956?

Answer: LCM of 9952 and 9956 is 24770528.

2. What are the Factors of 9952?

Answer: Factors of 9952 are 1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952. There are 12 integers that are factors of 9952. The greatest factor of 9952 is 9952.

3. What are the Factors of 9956?

Answer: Factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956. There are 12 integers that are factors of 9956. The greatest factor of 9956 is 9956.

4. How to Find the LCM of 9952 and 9956?

Answer:

Least Common Multiple of 9952 and 9956 = 24770528

Step 1: Find the prime factorization of 9952

9952 = 2 x 2 x 2 x 2 x 2 x 311

Step 2: Find the prime factorization of 9956

9956 = 2 x 2 x 19 x 131

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 24770528 = 2 x 2 x 2 x 2 x 2 x 19 x 131 x 311

Step 4: Therefore, the least common multiple of 9952 and 9956 is 24770528.